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Probability question

2013 · Shift 2 · Q25

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PYQ Library
JEE Advanced
Mathematics
Probability
2013 · Shift 2 · Q25

Probability question

2013 · Shift 2 · Q25

JEE AdvancedMathematicsProbabilityMCQ+4 / −1

A box

{B_1}

contains

1

white ball,

3

red balls and

2

black balls. Another box

{B_2}

contains

2

white balls,

3

red balls and

4

black balls. A third box

{B_3}

contains

3

white balls,

4

red balls and

5

black balls. If

1

ball is drawn from each of the boxex

{B_1},{B_2}

and

{B_3},

the probability that all

3

drawn balls are of the same colour is

A
${{82} \over {648}}$
B
${{90} \over {648}}$
C
${{558} \over {648}}$
D
${{566} \over {648}}$

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